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MathGroup Archive 2001

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Re: Zero does not equal Zero

  • To: mathgroup at
  • Subject: [mg31412] Re: Zero does not equal Zero
  • From: Mark Sofroniou <marks at>
  • Date: Sat, 3 Nov 2001 05:29:18 -0500 (EST)
  • Organization: Wolfram Research Inc
  • References: <9rlt9k$o10$>
  • Sender: owner-wri-mathgroup at

You can't use Equal or SameQ for you wants because they have a built in
tolerance that is larger than the difference you are seeking.

However, you can get the closest two bigfloats (1 significant ULP either
side) by simply using Interval.

In[1]:= x=Exp[ N[Pi/3, 20] ];

In[2]:= Interval[x]

Out[2]= Interval[{2.8496539082263614974, 2.8496539082263614975}]

Mark Sofroniou
Wolfram Research

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